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Enmark Abstract We prove that every -term in normal form has one of Thatte s partial types. Keywords: Functional programming, partial types. Partial types for the pure -calculus 1 were introduced by Thatte in 1988 5 as a way to type certain -terms that are untypable in the simply-typed calculus. Any -term that has a simple type also has a partial type. Moreover, any -term that has a partial type is strongly normalizing 6 . Type inference for partial types can be performed in.
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